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Finding the Third Proportional to 65,874 and 142,044

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Solution

The third proportional to 65,874 and 142,044 is: 306,289.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,874 : 142,044 = 142,044 : x
  2. Step 2: Convert to fraction form
    65,874/142,044 = 142,044/x
  3. Step 3: Cross multiply
    65,874x = 142,044 × 142,044
  4. Step 4: Simplify right side
    65,874x = 20,176,497,936
  5. Step 5: Solve for x
    x = 20,176,497,936/65,874
  6. Step 6: Final answer
    x = 306,289.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.